CameraIcon

SearchIcon

MyQuestionIcon

2

You visited us 2 times! Enjoying our articles? Unlock Full Access!

Quadratic Formula

If an object ...

Question

If an object is dropped from a height of 39 feet, the function $h (t) = - 16 t^{2} + 39$ gives the height of the object after t seconds. Choose the graph of the function.

A

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

C

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B

Since a is negative, the graph should be downward opening.

h(t) = 0

$\Rightarrow 0 = - 16 t^{2} + 39$

$\Rightarrow - 39 = - 16 t^{2}$

$\Rightarrow t = \sqrt{\frac{39}{16}}$ = 1.56

Suggest Corrections

thumbs-up

0

Similar questions

h (t) = - 16 t^{2} + 32 t + 80

gives the height

h

above ground, in feet, of an object thrown, at

t = 0

, straight upward from the top of an

80

feet building
(a) What is the highest point reached by the object
(b) How long does it take the object to reach its highest point?
(c) After how many seconds does the object hit the ground?
(d) For how many seconds is the height of the object higher than

90

Q. The function which represents the height,

h (t)

, of a ball t seconds after it is kicked into the air is

h (t) = - 16 t^{2} + 64 t

t

h (t)

Q. If an object is thrown straight up into the air with an initial velocity of

112

feet per second, its height after t second is given by the formula :

h = 112 t - 16 t^{2}

, where h represents the height of the object in feet. After the object has been thrown, in how many seconds will it hit the ground?

Q. A ball is throw into the air from an initial height of

10

feet. Its height above the ground, in feet,

t

seconds after it is thrown is given by the function

h (t) = 16 t^{2} + 27 t - 10

. How long will it take (in seconds) for the ball to hit the ground after it is thrown?

h = - 16 t^{2} + v t + k

The equation above gives the height

h

, in feet, of a ball

t

seconds after it is thrown straight up with an initial speed of

v

feet per second from a height of

k

feet. Which of the following gives

v

h, t

k

?

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Solving QE using Quadratic Formula

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Quadratic Formula

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon